Atkin-Lehner |
2- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29848f |
Isogeny class |
Conductor |
29848 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
64640 |
Modular degree for the optimal curve |
Δ |
-763829900288 = -1 · 210 · 72 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 3 0 7- 2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2635,-66922] |
[a1,a2,a3,a4,a6] |
j |
-1975902970500/745927637 |
j-invariant |
L |
6.5406412250606 |
L(r)(E,1)/r! |
Ω |
0.32703206125292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59696b1 |
Quadratic twists by: -4 |